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Spin-1/2 Ising-Heisenberg model with the pair XYZ Heisenberg interaction and quartic Ising interactions as the exactly soluble zero-field eight-vertex model

Jozef Strečka1,*, Lucia Čanová2, and Kazuhiko Minami3

  • 1Department of Theoretical Physics and Astrophysics, Faculty of Science, P. J. Šafárik University, Park Angelinum 9, 040 01 Košice, Slovak Republic
  • 2Department of Applied Mathematics, Faculty of Mechanical Engineering, Technical University, Letná 9, 042 00 Košice, Slovak Republic
  • 3Graduate School of Mathematics, Nagoya University, Nagoya 464-8602, Japan

  • *jozef.strecka@upjs.sk, jozkos@pobox.sk
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Phys. Rev. E 79, 051103 – Published 6 May, 2009Erratum Phys. Rev. E 83, 069904 (2011)

DOI: https://doi.org/10.1103/PhysRevE.79.051103

Abstract

The spin-1/2 Ising-Heisenberg model with the pair XYZ Heisenberg interaction and quartic Ising interactions is exactly solved by establishing a precise mapping relationship with the corresponding zero-field (symmetric) eight-vertex model. It is shown that the Ising-Heisenberg model with the ferromagnetic Heisenberg interaction exhibits a striking critical behavior, which manifests itself through re-entrant phase transitions as well as continuously varying critical exponents. The changes in critical exponents are in accordance with the weak universality hypothesis in spite of a peculiar singular behavior that emerges at a quantum critical point of the infinite order, which occurs at the isotropic limit of the Heisenberg interaction. On the other hand, the Ising-Heisenberg model with the antiferromagnetic Heisenberg interaction surprisingly exhibits less significant changes in both critical temperatures and critical exponents upon varying the strength of the exchange anisotropy in the Heisenberg interaction.

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Erratum

Erratum: Spin-1/2 Ising-Heisenberg model with the pair XYZ Heisenberg interaction and quartic Ising interactions as the exactly soluble zero-field eight-vertex model [Phys. Rev. E 79, 051103 (2009)]

Jozef Strečka, Lucia Gálisová, and Kazuhiko Minami
Phys. Rev. E 83, 069904 (2011)

Article Text

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Phys. Rev. E 79, 051103– Published 6 May, 2009
  • Received 3 February 2009

© 2009 American Physical Society

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